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All samples were subject to the principle of normal distribution.
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u is the expectation of normal distribution, and σ2 is the variance of the normal distribution.
The assumption of a normal distribution of fluctuations may not be a good one.
Therefore, according to the principle of maximum entropy, the normal distribution is the best choice if no further information about the distribution is available [1].
cdf of standard normal distribution.
pdf of standard normal distribution.
It greatly increases the usefulness of the normal distribution.
where z1−α/2 is the 1−α/2 quantile of standard normal distribution.
For the normal kernel function, the bandwidth is the standard deviation of the normal distribution.
A log-normal distribution of the data implies a normal distribution of the logarithmic data.
It follows now the behavior of a unit normal distribution.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com